HIGHEST POWER OF 6 IN 200!

• step 1:Factorize the number into primes
  so,
  6=2*3;
  step 2: find the highest power of all the prime numbers(2,3) in that factorial using the below method,
  
  
  200/2+ 200/2^2+ 200/2^3 + 200/2^4 + 200/2^5 +200/2^6= 100+50+25 +12 +6+3=196
  
  now,find for 3
  
  200/3+200/3^2+200/3^3 + 200/3^4 =66+22+7+2 =97
  
  take the least power, 97
  
  
  thus the answer is 97.
• 7 years agoHelpfull: Yes(0) No(0)
• Here 6 is a composite Number. Hence we have to factorize it.
  The factors of 6=2*3
  Now we can find out the no. of 2's and 3's in 200! then find the least power between the two(2 and 3)
  So to find out the no. of 2's in 200 the shortest trick is to divide the answer obtained by 2 until the answer becomes
• 3 years agoHelpfull: Yes(0) No(0)